论文标题
考兹曼过渡到理想的玻璃相
The Kauzmann Transition to an Ideal Glass Phase
论文作者
论文摘要
自Kauzmann首先强调假设的熵危机以来，观察到的玻璃形成的想法是高度争议的，如果人们能够平衡实验性玻璃过渡温度$ t_g $的假设熵危机。此后，这是$ t_k <t_g $的先验无法到达的过渡，此后已获得了牢固的理论基础，作为玻璃过渡的平均场理论预测的关键特征。在本章中，我们评估了这种过渡是否可以在有限的维度中生存，并且我们回顾了一些最近的计算机模拟工作，以$ 2 $ - $ 3 $维度的玻璃形成液体模型来解决该问题。我们还讨论了理论原因，以关注明显无法访问的奇异性。
The idea that a thermodynamic glass transition of some sort underlies the observed glass formation has been highly debated since Kauzmann first stressed the hypothetical entropy crisis that could take place if one were able to equilibrate supercooled liquids below the experimental glass transition temperature $T_g$. This a priori unreachable transition at some $T_K<T_g$ has since received a firm theoretical basis as a key feature predicted by the mean-field theory of the glass transition. In this chapter, we assess whether, and in which form, such a transition can survive in finite dimensions, and we review some of the recent computer simulation work addressing the issue in $2$- and $3$-dimensional glass-forming liquid models. We also discuss theoretical reasons to focus on an apparently inaccessible singularity.
